INTRODUCTION. The complex numbers were grudgingly accepted by Renaissance mathematicians because of their utility in solving the cubic equation. Whereas the complex numbers were discovered primarily… Expand

We construct geometric calculus on an oriented k-surface embedded in Euclidean space by utilizing the notion of an oriented k-surface as the limit set of a sequence of k-chains. This method provides… Expand

Of the various formalisms developed to treat relativistic phenomena, those based on Clifford's geometric algebra are especially well adapted for clear geometric interpretations and computational… Expand

A detailed study of the hybrid 2 × 2 matrix geometric algebra M(2,IG) with elements in the 8 dimensional geometric algebra IG=IG3 of Euclidean space, which combines the simplicity of 2× 2 matrices and the clear geometric interpretation of the elements of IG.Expand

1 Modular Number Systems.- 2 Complex and Hyperbolic Numbers.- 3 Geometric Algebra.- 4 Vector Spaces and Matrices.- 5 Outer Product and Determinants.- 6 Systems of Linear Equations.- 7 Linear… Expand